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In geometry, deductive rules can be used to prove conjectures.
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prove conjectures
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Some words that rhyme with "lectures" are textures, conjectures, and ruptures.
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hypotheses or more generally
conjectures
should be capable of being refuted
see: Karl Popper - Conjectures and Refutations
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Twenty Conjectures in Geometry:
- Vertical Angle Conjecture: Non-adjacent angles formed by two intersecting lines.
- Linear Pair Conjecture: Adjacent angles formed by two intersecting lines.
- Triangle Sum Conjecture: Sum of the measures of the three angles in a triangle.
- Quadrilateral Sum Conjecture: Sum of the four angles in a convex four-sided figure.
- Polygon Sum Conjecture: Sum of the angles for any convex polygon.
- Exterior Angles Conjecture: Sum of exterior angles for any convex polygon.
- Isosceles Triangle Conjectures: Isosceles triangles have equal base angles.
- Isosceles Trapezoid Conjecture: Isosceles trapezoids have equal base angles.
- Midsegment Conjectures: Lengths of midsegments for triangles and trapezoids.
- Parallel Lines Conjectures: Corresponding, alternate interior, and alternate exterior angles.
- Parallelogram Conjectures: Side, angle, and diagonal relationships.
- Rhombus Conjectures: Side, angle, and diagonal relationships.
- Rectangle Conjectures: Side, angle, and diagonal relationships.
- Congruent Chord Conjectures: Congruent chords intercept congruent arcs.
- Chord Bisector Conjecture: The bisector of a chord passes through the center of the circle.
- Tangents to Circles Conjectures: A tangent to a circle is perpendicular to the radius.
- Inscribed Angle Conjectures: An inscribed angles has half the measure of intercepted arc.
- Inscribed Quadrilateral Conjecture: Opposite angles are supplements.
- The Number "Pi" Conjectures: Circumference and diameter relationship for a circle.
- Arc Length Conjecture: Formula to calculate the length of an arc on a circle.
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Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.
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By creating a strong inference, you can then put your ideas to the test. After close observation, you can then rule-out any incorrect guesses.
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you are too stupid to know
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An exchange of ideas, theories, conjectures and conclusions.
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DOXOGRAPHY
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By creating a strong inference, you can then put your ideas to the test. After close observation, you can then rule-out any incorrect guesses.
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"Before the era of space exploration, scientists made many conjectures about life on Mars."
"Mistaken conjectures about human physiology led to several harmful practices in early medicine."
"The conjectures about the company's future plans were completely wrong."
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Inductive Reasoning
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A conjecture is the formation of an opinion that is based on incomplete information. However, I may be wrong.
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In geometry, deductive rules can be used to prove conjectures.
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A conjecture is a statement that is believed to be true, but has yet to be proven. Conjectures can often be disproven by a counter example and are then referred to as false conjectures.
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Hector Talvart has written:
'Conjectures' -- subject(s): Accessible book
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axiomatic method
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This is not known for sure, but if Goldbach's conjectures are true, then 2.
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JAMES W. KIRCHNER has written:
'THE GAIA HYPOTHESIS: CONJECTURES AND REFUTATIONS'
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That would most likely be one of the many as yet unproven conjectures that are believed to have proofs.
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Because mathematics is a axiomatic system so that every new statement remains a conjecture until it is proved.
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How about with a summary of predicted conjectures from the Big Bang Theory - like the possible end of our observable universe.
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1. Undefined Terms
2. Definitions
3. Postulates
4. Conjectures
5. Theorems
:)
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Experimentation, calculations, extrapolations, conjectures, confrontation to facts then restart at the beginning. THe same as it is now and the same as it was the century before.
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There is no hard evidence that there was any conspiracy. However, the are many conjectures, blaming the Russians, Cubans, the FBI, the CIA, Lyndon Johnson and others.
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In order to find the unknown term in a number sequence, you first need to calaculate the advantage of the numbers.
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Thomas Tyrwhitt has written:
'Observations and conjectures upon some passages of Shakespeare' -- subject(s): Criticism, Textual, Textual Criticism
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Yes. Scientific theories, hypotheses or more generally conjectures must be testable capable of being proved false.
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They assumed that he (Dimmesdale / the minister ) was indeed the man who had an affair with Hester Prynne and fathered her only child Pearl.
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Yes. Scientific theories, hypotheses or more generally conjectures must be testable capable of being proved false.
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There have been many conjectures but the bottom line is that no one really knows. The Bible does not give any information in this. As far as we know there are no other books that give this information.
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Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.
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The scientific method is a body of techniques for investigating phenomena. The overall process involves making conjectures (hypotheses), deriving and that the "route from theory to measurement can almost never be traveled.
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Pure research scientists are not primarily concerned with practical applications for their experiments. They may be testing previously unmeasured materials (cohesive molecules, superconductors) or experimentally proving or disproving mathematical conjectures (gravity waves).
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There is not "the" conjecture: there are several.
The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.
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N. Hartsoeker has written:
'Eclaircissemens sur les conjectures physiques'
'Recueil de plusieurs pieces de physique, ou l'on fait principalement voir l'invalidite du systeme de Mr. Newton'
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